A225404 10-adic integer x such that x^3 == 3 mod 10^n for all n.

7, 8, 5, 4, 3, 1, 5, 9, 8, 7, 8, 0, 0, 5, 8, 3, 2, 4, 0, 6, 1, 5, 6, 6, 2, 9, 4, 8, 1, 3, 0, 3, 6, 1, 8, 4, 8, 4, 6, 1, 9, 2, 2, 1, 3, 3, 8, 6, 8, 7, 8, 8, 9, 0, 6, 5, 9, 6, 3, 5, 3, 0, 2, 4, 2, 3, 0, 9, 0, 5, 2, 1, 6, 0, 7, 0, 1, 9, 9, 4, 7, 5, 7, 9, 3, 4, 8, 6, 6, 3, 3, 1, 1, 4, 3, 3, 6, 6, 2, 4

Offset

1,1

Links

Kenny Lau, Table of n, a(n) for n = 1..10000

Example

7^3 == 3 (mod 10).
87^3 == 3 (mod 100).
587^3 == 3 (mod 1000).
4587^3 == 3 (mod 10000).
34587^3 == 3 (mod 100000).
134587^3 == 3 (mod 1000000).

Prog

(PARI) n=0; for(i=1, 100, m=3; for(x=0, 9, if(((n+(x*10^(i-1)))^3)%(10^i)==m, n=n+(x*10^(i-1)); print1(x", "); break)))
(Python) n=7; p=1; i=1; exec("print(i, n//p); i+=1; p*=10; n+=n**3//p*7%10*p; "*10000) # Kenny Lau, Jun 07 2018

Crossrefs

Sequence in context: A216544 A216546 A003881 * A320413 A076419 A217516

Adjacent sequences: A225401 A225402 A225403 * A225405 A225406 A225407

Keyword

nonn,base

Author

Aswini Vaidyanathan, May 07 2013

Status

approved